Home / 11,712-13,408

Finding the Third Proportional to 11,712 and 13,408

Calculator

Solution

The third proportional to 11,712 and 13,408 is: 15,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 13,408 = 13,408 : x
  2. Step 2: Convert to fraction form
    11,712/13,408 = 13,408/x
  3. Step 3: Cross multiply
    11,712x = 13,408 × 13,408
  4. Step 4: Simplify right side
    11,712x = 179,774,464
  5. Step 5: Solve for x
    x = 179,774,464/11,712
  6. Step 6: Final answer
    x = 15,349.60

Related Problems

Find third proportional to 5,856 and 6,704
Half scale
Find third proportional to 23,424 and 26,816
Double scale
Find third proportional to 11,714 and 13,410
Similar ratio
Find third proportional to 17,568 and 20,112
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.